{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<small><i>This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com). Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_tutorial/).</i></small>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Dimensionality Reduction: Principal Component Analysis in-depth\n",
    "\n",
    "Here we'll explore **Principal Component Analysis**, which is an extremely useful linear dimensionality reduction technique.\n",
    "\n",
    "We'll start with our standard set of initial imports:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/jakevdp/anaconda/envs/python3.5/lib/python3.5/site-packages/matplotlib/__init__.py:872: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n",
      "  warnings.warn(self.msg_depr % (key, alt_key))\n"
     ]
    }
   ],
   "source": [
    "from __future__ import print_function, division\n",
    "\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import stats\n",
    "\n",
    "# use seaborn plotting style defaults\n",
    "import seaborn as sns; sns.set()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introducing Principal Component Analysis\n",
    "\n",
    "Principal Component Analysis is a very powerful unsupervised method for *dimensionality reduction* in data.  It's easiest to visualize by looking at a two-dimensional dataset:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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HTQBAMWJDD9gqpsMmAKBYEcSwlWljDwBA7ghiAAAMIohha3Zt2HLPaLanBAD/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\nAMCg/w85QKqqEWF8rQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10deac588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(1)\n",
    "X = np.dot(np.random.random(size=(2, 2)), np.random.normal(size=(2, 200))).T\n",
    "plt.plot(X[:, 0], X[:, 1], 'o')\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that there is a definite trend in the data. What PCA seeks to do is to find the **Principal Axes** in the data, and explain how important those axes are in describing the data distribution:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.75871884  0.01838551]\n",
      "[[ 0.94446029  0.32862557]\n",
      " [-0.32862557  0.94446029]]\n"
     ]
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "pca = PCA(n_components=2)\n",
    "pca.fit(X)\n",
    "print(pca.explained_variance_)\n",
    "print(pca.components_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To see what these numbers mean, let's view them as vectors plotted on top of the data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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vOrOQqNbnxOxaJ/bteQftH/4epw6+M+pe3zkLrsCiFZ/BwituRApezAo4MZCW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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110c209e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(X[:, 0], X[:, 1], 'o', alpha=0.5)\n",
    "for length, vector in zip(pca.explained_variance_, pca.components_):\n",
    "    v = vector * 3 * np.sqrt(length)\n",
    "    plt.plot([0, v[0]], [0, v[1]], '-k', lw=3)\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that one vector is longer than the other. In a sense, this tells us that that direction in the data is somehow more \"important\" than the other direction.\n",
    "The explained variance quantifies this measure of \"importance\" in direction.\n",
    "\n",
    "Another way to think of it is that the second principal component could be **completely ignored** without much loss of information! Let's see what our data look like if we only keep 95% of the variance:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(200, 2)\n",
      "(200, 1)\n"
     ]
    }
   ],
   "source": [
    "clf = PCA(0.95) # keep 95% of variance\n",
    "X_trans = clf.fit_transform(X)\n",
    "print(X.shape)\n",
    "print(X_trans.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "By specifying that we want to throw away 5% of the variance, the data is now compressed by a factor of 50%! Let's see what the data look like after this compression:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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5v3/1UiWpHHyTBRsAkJ9QsPunOpK6gsCTcc89KvbuFWHbjdf4eh5mFGF99asWLn5vAd/5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\nIooRg5iIiChG/z9dGbgyFL2qxAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110c207f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_new = clf.inverse_transform(X_trans)\n",
    "plt.plot(X[:, 0], X[:, 1], 'o', alpha=0.2)\n",
    "plt.plot(X_new[:, 0], X_new[:, 1], 'ob', alpha=0.8)\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The light points are the original data, while the dark points are the projected version.  We see that after truncating 5% of the variance of this dataset and then reprojecting it, the \"most important\" features of the data are maintained, and we've compressed the data by 50%!\n",
    "\n",
    "This is the sense in which \"dimensionality reduction\" works: if you can approximate a data set in a lower dimension, you can often have an easier time visualizing it or fitting complicated models to the data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Application of PCA to Digits\n",
    "\n",
    "The dimensionality reduction might seem a bit abstract in two dimensions, but the projection and dimensionality reduction can be extremely useful when visualizing high-dimensional data.  Let's take a quick look at the application of PCA to the digits data we looked at before:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_digits\n",
    "digits = load_digits()\n",
    "X = digits.data\n",
    "y = digits.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1797, 64)\n",
      "(1797, 2)\n"
     ]
    }
   ],
   "source": [
    "pca = PCA(2)  # project from 64 to 2 dimensions\n",
    "Xproj = pca.fit_transform(X)\n",
    "print(X.shape)\n",
    "print(Xproj.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Uex4xooTc3GTgUUX/OT1NFOE0biAajdLcXMfkaaVEYg7q6h0EepJ1SE+cqOPj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\nTTP1H040FsapuQctJm1ggEiuzLQUCwM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YFK8TyX0YSmAFlhKIEIuLFlmUKOGYLirudxHk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\nPUVRFGXCUElPURRFmTD+f6/xReKxApl4AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1117c7a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(Xproj[:, 0], Xproj[:, 1], c=y, edgecolor='none', alpha=0.5,\n",
    "            cmap=plt.cm.get_cmap('nipy_spectral', 10))\n",
    "plt.colorbar();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This gives us an idea of the relationship between the digits. Essentially, we have found the optimal stretch and rotation in 64-dimensional space that allows us to see the layout of the digits, **without reference** to the labels."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### What do the Components Mean?\n",
    "\n",
    "PCA is a very useful dimensionality reduction algorithm, because it has a very intuitive interpretation via *eigenvectors*.\n",
    "The input data is represented as a vector: in the case of the digits, our data is\n",
    "\n",
    "$$\n",
    "x = [x_1, x_2, x_3 \\cdots]\n",
    "$$\n",
    "\n",
    "but what this really means is\n",
    "\n",
    "$$\n",
    "image(x) = x_1 \\cdot{\\rm (pixel~1)} + x_2 \\cdot{\\rm (pixel~2)} + x_3 \\cdot{\\rm (pixel~3)} \\cdots\n",
    "$$\n",
    "\n",
    "If we reduce the dimensionality in the pixel space to (say) 6, we recover only a partial image:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1117c76a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from fig_code.figures import plot_image_components\n",
    "\n",
    "sns.set_style('white')\n",
    "plot_image_components(digits.data[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "But the pixel-wise representation is not the only choice. We can also use other *basis functions*, and write something like\n",
    "\n",
    "$$\n",
    "image(x) = {\\rm mean} + x_1 \\cdot{\\rm (basis~1)} + x_2 \\cdot{\\rm (basis~2)} + x_3 \\cdot{\\rm (basis~3)} \\cdots\n",
    "$$\n",
    "\n",
    "What PCA does is to choose optimal **basis functions** so that only a few are needed to get a reasonable approximation.\n",
    "The low-dimensional representation of our data is the coefficients of this series, and the approximate reconstruction is the result of the sum:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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K2IkTJ8Q+tV5fnH2WSGMXL15Uxg4dOiS2HTx4sDIm1XG//vrrlTG9h/Rpvfa4Mh9SXf3s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\nRGQAXLgTERERERkAF+5ERERERAbw/wBaodbd16kV4gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11178d668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from fig_code.figures import plot_pca_interactive\n",
    "plot_pca_interactive(digits.data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we see that with only six PCA components, we recover a reasonable approximation of the input!\n",
    "\n",
    "Thus we see that PCA can be viewed from two angles. It can be viewed as **dimensionality reduction**, or it can be viewed as a form of **lossy data compression** where the loss favors noise. In this way, PCA can be used as a **filtering** process as well."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Choosing the Number of Components\n",
    "\n",
    "But how much information have we thrown away?  We can figure this out by looking at the **explained variance** as a function of the components:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/jakevdp/anaconda/envs/python3.5/lib/python3.5/site-packages/matplotlib/__init__.py:872: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n",
      "  warnings.warn(self.msg_depr % (key, alt_key))\n"
     ]
    },
    {
     "data": {
      "image/png": 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uLoeIiOiGHJ5j37NnD5577jlERkbCZrOhqqoKK1asQI8ePRzuXJIkLFq0qMG6\n+kPvADBgwAB88cUXt1C2a+3NugSD0YrR/drDR+Xd9/ATEVHL5jDYX3/9dXzwwQfo0qULAODo0aNY\nsGABNm3a5PTiWgIhBLYfKoBSIWFwryh3l0NERHRTDoefarXaHuoAcMcddzi1oJbmZG4FCi/r0a9L\nJIK0jbvNj4iIyF0cjth79OiBefPm4eGHH4ZSqcQ333yD6OhopKenAwD69evn9CLdaUdGPgBgWJ92\nbq6EiIjIMYfBfvbsWQDA3/72twbrV65cCUmSsHr1audU1gKUVtbi0OkSxLYORBwfzUpERB7AYbD/\n85//hL+/f4N1BQUFiI6OdlpRLcWuzAIIAQzrE83pY4mIyCM4PMeelJSEzMxM+/K6deswZcoUpxbV\nEpgtVvyUWQitnw8GdG3t7nKIiIgaxeGIfcmSJXjxxRcxbNgwHD9+HL6+vvj8889dUZtbHThRDJ3B\njLED20Pto3R3OURERI3icMTet29fTJs2DevWrcOZM2fw5JNPIipK/rd97TiUD0kChvaS/ykHIiKS\nD4cj9mnTpkGpVGLLli0oKCjAM888g6FDh+KFF15wRX1uca6wCjkXq3Fn53CEB/u5uxwiIqJGczhi\nHz16ND755BO0a9cOAwYMwKZNm2A0Gl1Rm9ts5y1uRETkoRwGe0pKCjIyMvDZZ5/BZDLh+PHjWLBg\ngStqc4sqvQnpJ4vQNswft8eGuLscIiKiJnEY7J988glWrFiBjz/+GHq9HvPnz8eHH37oitrc4qfD\nhbBYBYb1bsdb3IiIyOM4DPbU1FR8+OGH8PPzQ0hICL788kts3LjRFbW5nNVmw67/FMBXrcTd3du4\nuxwiIqImcxjsCoUCarXavqzRaKBUyvP2r2M55SivNuKubm3gp3F4XSEREVGL4zC9+vfvj+XLl8Ng\nMCAtLQ0bNmzAwIEDXVGby+07dgkAcPcdHK0TEZFncjhif+655xAbG4uEhARs3rwZgwcPxvPPP++K\n2lzKYLTg0KkSRIb44ba2nBeeiIg8k8MRu0KhQHJyMpKTk11Rj9v853QJTBYb7urWhhfNERGRx3I4\nYvcWe48VAQAGduO88ERE5LkY7AAqdEYcP1+GuKhWaB3i7/gbiIiIWqhGBXt+fj527doFq9WKvLw8\nZ9fkcgeOF0EIYGA3XjRHRESezWGwf/vtt5g1axYWL16MiooKJCcn46uvvnJFbS6z91gRlAoJ/bpG\nursUIiJBoSveAAAZpUlEQVSi38VhsL///vv47LPPoNVqERYWhtTUVKxatcoVtblEwWU9LhRVo3vH\nULTyVzv+BiIiohasURPUaLVa+3JkZCQUCvmcmq+/d/0uzjRHREQy4PB2t86dO2Pt2rWwWCw4ceIE\n1q1bhy5duriiNqezCYF9x4rgq1aiZ6dwd5dDRET0uzkces+fPx9FRUXQaDR46aWXoNVqZfN0tzP5\nlSitqkWfhAhofOQ5TS4REXkXhyP2zz//HI899hieeeYZV9TjUnvrD8PzangiIpIJhyP2oqIiPPzw\nw5gxYwa++uorGAwGV9TldGaLDeknihGsVaNLez53nYiI5MFhsD///PPYsWMHZs2ahcOHD+PBBx/E\ns88+64ranOrI2VLUGC0YeHsbKBScQpaIiOShUZe3CyFgNpthNpshSVKDx7h6qvqr4TmFLBERyYnD\nc+yvvfYa0tLS0LVrV0yYMAEvv/wyNBqNK2pzGn2tGYfPXkZ0RABiIrWOv4GIiMhDOAz2Dh06IDU1\nFaGhoa6oxyUysktgsQo+yY2IiGTnhsG+YcMGTJkyBZWVlVi3bt0122fPnu3Uwpwp61wpAKB3fISb\nKyEiImpeNzzHLoRwZR0uI4TAqbwKBGvVaB3i5+5yiIiImtUNR+zJyckAgOjoaCQlJTXY9umnnzq3\nKie6WFqDqhozBtzemofhiYhIdm4Y7B9//DF0Oh3Wr1+PgoIC+3qr1YotW7bg0UcfdUmBzS07rwIA\nkBAT7OZKiIiImt8ND8XHxsZed71arcayZcucVpCzZeeWAwAS2jPYiYhIfm44Yh86dCiGDh2KsWPH\nIi4ursG22tpapxfmDEIIZOdWoFWAGm1C/d1dDhERUbNzeLvbmTNnMHfuXNTU1EAIAZvNBoPBgH37\n9rmivmZVVG5Apd6Efl0ieX6diIhkyWGwv/nmm1i8eDE++ugjzJw5E7/88gvKy8tdUVuz42F4IiKS\nO4dTyrZq1QoDBw5Ez549UV1djaeeegqZmZmuqK3Z8cI5IiKSO4fB7uvri5ycHMTFxeHAgQMwmUyo\nrq52RW3Nqv78utbPB1HhAe4uh4iIyCkcBvtf/vIXrFixAkOHDsXevXsxaNAgjBgxwhW1NauSCgPK\nq41IaB/M8+tERCRbDs+x9+/fH/379wcAbNy4EZWVlQgKCnJ6Yc0tO5eH4YmISP5uGOwpKSk3Hdmu\nXr3aKQU5S/359S7tQ9xcCRERkfPcMNifeuopV9bhdNm55QjwVSEqgufXiYhIvm54jr3+ELwkSdf9\n8CSXKwworTIiPiYYCg+rnYiIqCkcnmNfuXKl/WuLxYLs7Gz07dsX/fr1c2phzcl+mxsPwxMRkcw5\nDPY1a9Y0WM7Ly8PSpUudVpAz1F8414UT0xARkcw5vN3tt2JiYnDu3Dln1OI0J3PL4a9RoV2E1t2l\nEBEROZXDEfuLL77YYPns2bOIj493WkHNrayqFpcra9GrUzgUCp5fJyIieWvUfez1JEnCmDFjcNdd\ndzm1qOZUfxg+nvevExGRF3AY7ElJSdDpdKiqqrKvu3z5MqKiopxaWHPJzqt78EuXWAY7ERHJn8Ng\nX758OT7//HMEB9cFoxACkiRh+/btTi+uOWTnVsBPo0T7yEB3l0JEROR0DoN9+/bt+PnnnxEQ4HkT\nu5RXG1FUbkCPuDCeXyciIq/g8Kr4hIQEmEymW9q5EAILFixAcnIypk+fjry8vOu+bv78+fj73/9+\nS3/GzdQfhuf88ERE5C0cjtgfeOABjBo1CvHx8VAqlfb1jZkrPi0tDSaTCevXr8fhw4exdOlSvPfe\new1es379epw6darBRXrN5VQuJ6YhIiLv4jDYX3/9dcybN++WLpbLyMhAYmIiAKBnz57IyspqsP0/\n//kPjh49iuTkZKfcG5+dVwGNWonYNrx/nYiIvIPDYA8MDMSDDz54SzvX6XQIDPz1ojWVSgWbzQaF\nQoGSkhK88847eO+99/Dtt9/e0v5vxmS24lJZDTpHB0GpaPI8PERERB7JYbD36dMHTz31FO699174\n+PjY1zcm7LVaLfR6vX25PtQB4Pvvv0dFRQX++Mc/oqSkBEajEbfddpvD/UZENO7q9jN5FRAC6NQ+\npNHf4wnk1MutYP/e27839w6wf2/vvykcBrvBYIBWq8WhQ4carG9MsPfu3Rs7d+7EmDFjkJmZ2WDG\nupSUFKSkpAAAUlNTkZOT06h9lpRUO3wNABw9VQwACAvUNPp7WrqIiEDZ9HIr2L/39u/NvQPsn/03\n7U2Nw2D/PQ98GTlyJHbv3o3k5GT7vrZu3QqDwYDJkyff8n4bI79EBwBox+evExGRF3EY7MOGDbvu\n89cbM0GNJElYtGhRg3UdO3a85nVJSUkO99VUBVeCPTqcF84REZH3aNJjWy0WC7Zt23bL97W7Un6J\nHmGtNPD3ddgiERGRbDi8XDw6Otr+ERsbiyeeeAJpaWmuqO2WVdWYUKk3IZqPaSUiIi/jcDibnp5u\n/1oIgdOnT8NoNDq1qN+roLjuMHxMJIOdiIi8i8NgX7lypf1rSZIQEhKCZcuWObWo3yu/pO4Wu2he\nOEdERF6mUefYS0tLERYWBoPBgOLiYsTGxrqitlv26xXxHLETEZF3cXiOfc2aNXjiiScAAGVlZZg5\ncyY2bNjg9MJ+j/wSPZQKCW1C/d1dChERkUs5DPYNGzbg008/BVB3Id2mTZuwdu1apxd2q2xCoPCy\nHm3D/KFScipZIiLyLg6Tz2w2Q61W25evnla2JbpcYYDRbOVheCIi8koOz7GPGDECjz32GMaOHQsA\n+PHHHzF8+HCnF3areOEcERF5M4fB/uyzz+L7779Heno6VCoVpk+fjhEjRriitlvCC+eIiMibNWpa\ntjFjxmDMmDHOrqVZ1I/YGexEROSNZHd1WUGJDn4aFUJbadxdChERkcvJKtjNFisuldWgXUTAdR9c\nQ0REJHeyCvbCyzUQgofhiYjIe8kq2PkMdiIi8nayDHY+1Y2IiLyVzIK9/op4jtiJiMg7ySzYdQht\npYG/b8ueHY+IiMhZZBPsOoMZlToTL5wjIiKvJptgzy+uP7/Ow/BEROS95BPsnEqWiIhITsFed+Fc\nDIOdiIi8mGyCvaBEB6VCQpswf3eXQkRE5DayCHabEMgv0aNNmD9USlm0REREdEtkkYKXK2thNFt5\nfp2IiLyeLIK9oJhTyRIREQEyCXZOJUtERFRHJsHOqWSJiIgA2QS7Dn4aJcJa+bq7FCIiIrfy+GA3\nW2woKjMgOlwLSZLcXQ4REZFbeXywXyzVwyYED8MTERFBBsFeWFp3fj0qnMFORETk8cF+qbQGADjj\nHBEREeQQ7GVXgj2UwU5ERCSLYFerFAjlFfFERESeHexCCBSVGRAZ4g8Fr4gnIiLy7GAvrzbCaLby\n/DoREdEVHh3sF3l+nYiIqAGPDvb6K+LbMtiJiIgAeHqwl/FWNyIioqvJI9g5YiciIgLg6cFeWoMg\nrRp+GpW7SyEiImoRPDbYTWYryqpqeX6diIjoKh4b7EXlBgjwMDwREdHVPDbYeX6diIjoWp4b7Fee\n6sYr4omIiH7lucHOETsREdE1PDrYVUoJ4UF+7i6FiIioxfDIYBdC4FJZTd3DXxR8+AsREVE9jwz2\nKr0JBqOVh+GJiIh+wyODnefXiYiIrs8jg51PdSMiIro+jwz2+qe68VY3IiKihpw6yboQAgsXLkR2\ndjbUajWWLFmCmJgY+/atW7di9erVUKlUiI+Px8KFCxu1Xx6KJyIiuj6njtjT0tJgMpmwfv16PPPM\nM1i6dKl9m9FoxMqVK7F27VqsW7cO1dXV2LlzZ6P2e6m0Blo/H2j9fJxVOhERkUdyarBnZGQgMTER\nANCzZ09kZWXZt6nVaqxfvx5qtRoAYLFYoNFoHO7TbLGhpNLAw/BERETX4dRg1+l0CAwMtC+rVCrY\nbDYAgCRJCA0NBQCsWbMGBoMBd999t8N9FlcYIAQPwxMREV2PU8+xa7Va6PV6+7LNZoNC8et7CSEE\n3njjDVy4cAHvvPNOo/ZpsNS9MejcPgQREYEOXi0/3tjz1di/9/bvzb0D7N/b+28KpwZ77969sXPn\nTowZMwaZmZmIj49vsP2VV16Br68v3nvvvUbvMzunFACg1ShRUlLdrPW2dBERgV7X89XYv/f27829\nA+yf/TftTY1Tg33kyJHYvXs3kpOTAQBLly7F1q1bYTAY0K1bN2zatAl9+vRBSkoKJEnC9OnTMWLE\niJvuk1fEExER3ZhTg12SJCxatKjBuo4dO9q/Pn78eJP3eamsBkqFhIhgPvyFiIjotzxugppLpTUI\nD/aDSulxpRMRETmdR6Vjpc4Ifa0FbXkYnoiI6Lo8KtgLSnQAeH6diIjoRjwr2IuvBDsnpyEiIrou\nzwp2jtiJiIhuyqOCPb+YwU5ERHQzHhXsBSU6+GtUCPTnw1+IiIiux6OC/eJlPdqE+UOSJHeXQkRE\n1CJ5VLBbbYKH4YmIiG7Co4Id4Pl1IiKim2GwExERyYjHBXtb3sNORER0Qx4V7NPv64qo8AB3l0FE\nRNRieVSwTx4ezyviiYiIbsKjgp2IiIhujsFOREQkIwx2IiIiGWGwExERyQiDnYiISEYY7ERERDLC\nYCciIpIRBjsREZGMMNiJiIhkhMFOREQkIwx2IiIiGWGwExERyQiDnYiISEYkIYRwdxFERETUPDhi\nJyIikhEGOxERkYww2ImIiGSEwU5ERCQjDHYiIiIZYbATERHJiMrdBTSGEAILFy5EdnY21Go1lixZ\ngpiYGHeX5RKHDx/G3/72N6xZswa5ubl44YUXoFAo0LlzZyxYsMDd5TmFxWLBSy+9hIKCApjNZsyc\nOROdOnXyit4BwGaz4eWXX0ZOTg4UCgUWLVoEtVrtNf3XKy0txcSJE/HRRx9BqVR6Vf8PPfQQtFot\nAKBdu3aYOXOmV/W/atUq7NixA2azGVOnTkW/fv28pv/U1FRs2rQJkiTBaDTi5MmT+PTTT/H66683\nvn/hAX788UfxwgsvCCGEyMzMFLNmzXJzRa7x/vvvi3HjxokpU6YIIYSYOXOmSE9PF0IIMX/+fLFt\n2zZ3luc0GzduFK+//roQQojKykoxZMgQr+ldCCG2bdsmXnrpJSGEEPv37xezZs3yqv6FEMJsNosn\nn3xSjB49Wpw7d86r+jcajSIpKanBOm/qf//+/WLmzJlCCCH0er14++23var/qy1atEh8/vnnTe7f\nIw7FZ2RkIDExEQDQs2dPZGVlubki14iNjcW7775rXz527Bj69u0LALj33nuxd+9ed5XmVGPHjsWc\nOXMAAFarFUqlEsePH/eK3gFgxIgReO211wAAhYWFCAoK8qr+AWD58uV45JFHEBkZCSGEV/V/8uRJ\n1NTUYMaMGfiv//ovHD582Kv6/+WXXxAfH4///u//xqxZszBkyBCv6r/e0aNHcebMGUyePLnJ//Z7\nRLDrdDoEBgbal1UqFWw2mxsrco2RI0dCqVTal8VVkwQGBASgurraHWU5nZ+fH/z9/aHT6TBnzhzM\nnTvXa3qvp1Ao8MILL2Dx4sUYN26cV/W/adMmhIWFYdCgQfa+r/7/Xe79+/r6YsaMGfjwww+xcOFC\n/PWvf/Wq3395eTmysrKwcuVKe//e9Puvt2rVKjz11FPXrG9M/x5xjl2r1UKv19uXbTYbFAqPeE/S\nrK7uWa/Xo1WrVm6sxrkuXryI2bNnY9q0abj//vvx5ptv2rfJvfd6y5YtQ2lpKSZNmgSj0WhfL/f+\n688v7t69G9nZ2Xj++edRXl5u3y73/jt06IDY2Fj718HBwTh+/Lh9u9z7Dw4ORlxcHFQqFTp27AiN\nRoOioiL7drn3DwDV1dU4f/48+vXrB6Dp//Z7RDr27t0bP/30EwAgMzMT8fHxbq7IPW6//Xakp6cD\nAH7++Wf06dPHzRU5x+XLlzFjxgw8++yzSEpKAgB07drVK3oHgK+++gqrVq0CAGg0GigUCnTv3h0H\nDhwAIP/+165dizVr1mDNmjXo0qUL3njjDSQmJnrN73/jxo1YtmwZAKCoqAg6nQ6DBg3ymt9/nz59\n8O9//xtAXf8GgwEDBw70mv4BID09HQMHDrQvN/XfP48YsY8cORK7d+9GcnIyAGDp0qVursg9nn/+\nebzyyiswm82Ii4vDmDFj3F2SU/zzn/9EVVUV3nvvPbz77ruQJAnz5s3D4sWLZd87AIwaNQovvvgi\npk2bBovFgpdffhm33XYbXn75Za/o/3q85e8+AEyaNAkvvvgipk6dCoVCgWXLliE4ONhrfv9DhgzB\nwYMHMWnSJPsdUdHR0V7TPwDk5OQ0uPOrqX//+XQ3IiIiGfGIQ/FERETUOAx2IiIiGWGwExERyQiD\nnYiISEYY7ERERDLCYCciIpIRBjtRC5aSkmKfmMJZdDodJk6ciKSkJFy4cMGpf5Y7vf3228jIyHB3\nGUROx2An8nInTpyAWq1GamqqfSpTOTpw4IBXPGOCiBPUEDWDAwcO4J///Cd8fX1x9uxZJCQk4K23\n3kJRURFSUlKwY8cOAMA777wDAJg9ezbuueceDB06FAcPHkRERASmTp2KNWvWoKioCMuWLUPfvn2R\nkpKCyMhI5OTkAABeeOEF9O/fHzU1NXj11Vdx+vRp2Gw2/PGPf8R9992H1NRUpKamoqKiAkOHDsXc\nuXPtNZaWlmLevHkoLCyESqXC3Llz0a1bNyQnJ+Py5csYOHAg3nvvPfvrTSYTFi1ahIyMDPj4+GDW\nrFm47777kJmZiddffx0mkwkhISF49dVXERMTg5SUFNx+++3Ys2cPTCYT5s2bhzVr1uDs2bN47LHH\n8Nhjj+Gdd95BTk4O8vLyUFlZiYcffhgzZsyAEAJLlizBvn37IEkSJkyYgD/+8Y83/LmqVCps3rwZ\nq1evhhAC3bp1w/z586FWq3HPPfdgzJgxyMjIgEqlwooVK5Ceno5FixYhMjIS77zzDn755Rds3rwZ\nSqUSd9xxBxYtWuTCvy1ETuakx8gSeZX9+/eLO++8UxQVFQkhhJg0aZLYuXOnyM/PF8OGDbO/7u23\n3xZvv/22EEKIhIQEsWPHDiGEECkpKeKZZ54RQgiRmpoqZs+eLYQQYtq0aeKVV14RQghx8uRJMXjw\nYGEymcTf/vY3sWbNGiGEENXV1WLcuHEiLy9PbNq0SYwaNUrYbLZrapwzZ4746KOPhBBC5Obminvu\nuUeUlpaK/fv3i5SUlGte/8EHH4i5c+cKIYQoKSkR48aNEyaTSQwdOlRkZWUJIYT47rvvxMSJE+21\nLl261N7nqFGjhNFoFAUFBaJfv3729RMmTBAGg0FUV1eLkSNHiuPHj4tPP/3U3rPBYBCTJk0Su3bt\navBztdls9p/r6dOnxdSpU4XRaBRCCPHWW2+Jf/zjH/af6/bt24UQQixbtkwsW7bMXl96erqwWCxi\n4MCBwmKxCJvNJhYuXGj/vRHJgUfMFU/kCeLj4xEZGQkAiIuLQ0VFhcPvSUxMBABER0fbH+wQFRWF\nyspK+2smTZoEAEhISEBoaCjOnj2LPXv2wGg04ssvvwQA1NbW4syZMwCAbt26QZKka/6sffv2YfHi\nxQCAmJgY9OrVC4cPH0ZAQMB1a0tPT8eUKVMAAOHh4diyZQtOnz6N4OBgdOvWDQAwZswYLFiwADqd\nDkDds6Lr++nZsyfUajWioqIaPGby/vvvh6+vLwBg+PDh2Lt3LzIzM+0P/PH19cX48eOxb98+DB06\n9Lo/14KCAly4cAFTpkyBEAIWi8VeEwDcc889AIDOnTvj4MGD9vVCCCiVSvTu3RsTJ07E8OHD8eij\nj9r3TyQHDHaiZqJWq+1f1werJEkNnqVtNpvh4+NjX1apVNf9+mpXrxdCwMfHBzabDW+++Sa6du0K\noO4we1BQELZs2QKNRnPd/YjfnHWz2WywWq037Oe39eTm5sJms12zHyGE/dz11b0plUqH+7Vardft\nuz6sgev/XK1WK8aOHYt58+YBAAwGg70XSZLs3/Pbn3+9d999F4cPH8bPP/+MGTNm4K233kLfvn2v\nWy+Rp+HFc0RO1KpVK1RVVaG8vBwmk8n+OMqm2LJlCwDg6NGj0Ov16NChAwYOHIh169YBAIqLizFh\nwgRcvHjxpvsZOHCgfYSfl5eH//znP+jVq9cNX9+3b1989913AOreOKSkpCA6OhqVlZXIysoCAHz7\n7beIiopy+Hzoq8N127ZtMJvNqKysxK5duzBo0CAMGDAAmzdvhs1mg8FgwJYtWzBgwIAb7q9///5I\nS0tDWVkZhBBYsGABPv7442v+rKupVCpYLBaUlZVh7NixiI+Px1NPPYVBgwYhOzv7pvUTeRKO2Imc\nSKvV4vHHH8fEiRMRFRWFnj172rdd73D5b0mSBL1ej6SkJCiVSrz11ltQKpV48sknsWjRIowfPx42\nmw3PPfccYmJiGhx2/q158+Zh/vz52LhxIxQKBZYsWYLw8HCcO3fuuq+fOnUqFi9ejAkTJkCSJLzy\nyivQarX43//9X7z66qswGAwIDg7GihUrHPZz9TZfX19MnToVer0ef/7znxEXF4fY2Fjk5OTggQce\ngMViwQMPPIARI0bYn8H9W126dMGTTz6Jxx57DEIIdO3aFX/6059uWkdiYiIWLlyI5cuXIzk5GRMn\nToSfnx+ioqLspwGI5IBXxRORy1x9VwAROQcPxRMREckIR+xEREQywhE7ERGRjDDYiYiIZITBTkRE\nJCMMdiIiIhlhsBMREckIg52IiEhG/j/X1c1dl6Mg0gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x102f65518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.set()\n",
    "pca = PCA().fit(X)\n",
    "plt.plot(np.cumsum(pca.explained_variance_ratio_))\n",
    "plt.xlabel('number of components')\n",
    "plt.ylabel('cumulative explained variance');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we see that our two-dimensional projection loses a lot of information (as measured by the explained variance) and that we'd need about 20 components to retain 90% of the variance.  Looking at this plot for a high-dimensional dataset can help you understand the level of redundancy present in multiple observations."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### PCA as data compression\n",
    "\n",
    "As we mentioned, PCA can be used for is a sort of data compression. Using a small ``n_components`` allows you to represent a high dimensional point as a sum of just a few principal vectors.\n",
    "\n",
    "Here's what a single digit looks like as you change the number of components:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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FMVnmMO1ZycIjlDTStH2VFafNMGNztKtg5Oe0svMyi3420TyMsTnMWIa5LPbY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\nNbZxpJyJjzUDxCbxSQ75O8mhXh1h27PZxqHjOB4OB3UKxpaSlfMlVEZyk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pJgv2USMm+u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\nOlmgJ0wdHR0dHZ0s+C8s/qaOtHr+gwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111655908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(8, 8, figsize=(8, 8))\n",
    "fig.subplots_adjust(hspace=0.1, wspace=0.1)\n",
    "\n",
    "for i, ax in enumerate(axes.flat):\n",
    "    pca = PCA(i + 1).fit(X)\n",
    "    im = pca.inverse_transform(pca.transform(X[20:21]))\n",
    "\n",
    "    ax.imshow(im.reshape((8, 8)), cmap='binary')\n",
    "    ax.text(0.95, 0.05, 'n = {0}'.format(i + 1), ha='right',\n",
    "            transform=ax.transAxes, color='green')\n",
    "    ax.set_xticks([])\n",
    "    ax.set_yticks([])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's take another look at this by using IPython's ``interact`` functionality to view the reconstruction of several images at once:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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CFKJtp6IUm5kZRuvpvTOezKIidGQ1e5MobiexWG2nZtavrKxgZWUFS0tLyGaz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\nzR/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5KK1WK7a2ttL/MR+euRtCDKmHOhzFE59Vg7kMcGGsbDDLEObOzk50Op3Y3d2N/f39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s3V95aeyERMst/vzxyJpa/kR7Tbb008tOczF+V3e3t7My396t4HekZjwzkvM6dL9f+cDXNd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      "text/plain": [
       "<matplotlib.figure.Figure at 0x115433e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from IPython.html.widgets import interact\n",
    "\n",
    "def plot_digits(n_components):\n",
    "    fig = plt.figure(figsize=(8, 8))\n",
    "    plt.subplot(1, 1, 1, frameon=False, xticks=[], yticks=[])\n",
    "    nside = 10\n",
    "    \n",
    "    pca = PCA(n_components).fit(X)\n",
    "    Xproj = pca.inverse_transform(pca.transform(X[:nside ** 2]))\n",
    "    Xproj = np.reshape(Xproj, (nside, nside, 8, 8))\n",
    "    total_var = pca.explained_variance_ratio_.sum()\n",
    "    \n",
    "    im = np.vstack([np.hstack([Xproj[i, j] for j in range(nside)])\n",
    "                    for i in range(nside)])\n",
    "    plt.imshow(im)\n",
    "    plt.grid(False)\n",
    "    plt.title(\"n = {0}, variance = {1:.2f}\".format(n_components, total_var),\n",
    "                 size=18)\n",
    "    plt.clim(0, 16)\n",
    "    \n",
    "interact(plot_digits, n_components=[1, 64], nside=[1, 8]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Other Dimensionality Reducting Routines\n",
    "\n",
    "Note that scikit-learn contains many other unsupervised dimensionality reduction routines: some you might wish to try are\n",
    "Other dimensionality reduction techniques which are useful to know about:\n",
    "\n",
    "- [sklearn.decomposition.PCA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.PCA.html): \n",
    "   Principal Component Analysis\n",
    "- [sklearn.decomposition.RandomizedPCA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.RandomizedPCA.html):\n",
    "   extremely fast approximate PCA implementation based on a randomized algorithm\n",
    "- [sklearn.decomposition.SparsePCA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.SparsePCA.html):\n",
    "   PCA variant including L1 penalty for sparsity\n",
    "- [sklearn.decomposition.FastICA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.FastICA.html):\n",
    "   Independent Component Analysis\n",
    "- [sklearn.decomposition.NMF](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.NMF.html):\n",
    "   non-negative matrix factorization\n",
    "- [sklearn.manifold.LocallyLinearEmbedding](http://scikit-learn.org/0.13/modules/generated/sklearn.manifold.LocallyLinearEmbedding.html):\n",
    "   nonlinear manifold learning technique based on local neighborhood geometry\n",
    "- [sklearn.manifold.IsoMap](http://scikit-learn.org/0.13/modules/generated/sklearn.manifold.Isomap.html):\n",
    "   nonlinear manifold learning technique based on a sparse graph algorithm\n",
    "   \n",
    "Each of these has its own strengths & weaknesses, and areas of application. You can read about them on the [scikit-learn website](http://sklearn.org)."
   ]
  }
 ],
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